b^2-23b+60=0

Solution for b^2-23b+60=0 equation:

Simplifying
b2 + -23b + 60 = 0

Reorder the terms:
60 + -23b + b2 = 0

Solving
60 + -23b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3 + -1b)(20 + -1b) = 0

Subproblem 1
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Subproblem 2
Set the factor '(20 + -1b)' equal to zero and attempt to solve:

Simplifying
20 + -1b = 0

Solving
20 + -1b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-20' to each side of the equation.
20 + -20 + -1b = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1b = 0 + -20
-1b = 0 + -20

Combine like terms: 0 + -20 = -20
-1b = -20

Divide each side by '-1'.
b = 20

Simplifying
b = 20
Solution
b = {3, 20}